10031312212121 has 2 divisors, whose sum is σ = 10031312212122. Its totient is φ = 10031312212120.

The previous prime is 10031312212093. The next prime is 10031312212153. The reversal of 10031312212121 is 12121221313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9872541043600 + 158771168521 = 3142060^2 + 398461^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031312212121 - 2⁴² = 5633265701017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031312212093 and 10031312212102.

It is not a weakly prime, because it can be changed into another prime (10031312212171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015656106060 + 5015656106061.

It is an arithmetic number, because the mean of its divisors is an integer number (5015656106061).

Almost surely, 2^{10031312212121} is an apocalyptic number.

It is an amenable number.

10031312212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031312212121 is an equidigital number, since it uses as much as digits as its factorization.

10031312212121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10031312212121 its reverse (12121221313001), we get a palindrome (22152533525122).

The spelling of 10031312212121 in words is "ten trillion, thirty-one billion, three hundred twelve million, two hundred twelve thousand, one hundred twenty-one".